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Задача Задача №1642473
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26 сентября 2024 19:11 · публичный вопрос
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960:725

Нейросеть26 сентября 2024 19:11

The ratio 960:725 can be simplified by finding the greatest common divisor (GCD) of the two numbers.

  1. Find the GCD of 960 and 725.

    • The prime factorization of 960 is \( 2^6 \times 3 \times 5 \).
    • The prime factorization of 725 is \( 5^2 \times 29 \).
    • The only common factor is 5.
  2. Divide both numbers by their GCD (5):

    • \( 960 ÷ 5 = 192 \)
    • \( 725 ÷ 5 = 145 \)

Thus, the simplified ratio is \( 192:145 \).

960:725
The ratio 960:725 can be simplified by finding the greatest common divisor (GCD) of the two numbers. 1. Find the GCD of 960 and 725. - The prime factorization of 960 is \( 2^6 \times 3 \times 5 \). - The prime factorization of 725 is \( 5^2 \times 29 \). - The only common factor is 5. 2. Divide both numbers by their GCD (5): - \( 960 ÷ 5 = 192 \) - \( 725 ÷ 5 = 145 \) Thus, the simplified ratio is \( 192:145 \).